Affiliation:
1. School of Electronic and Information Engineering Suzhou University of Science and Technology Suzhou China
2. Department of Mechanical Engineering Politecnico di Milano Milan Italy
3. Department of Computing The Hong Kong Polytechnic University Hong Kong China
Abstract
AbstractThis paper aims to investigate the problem of adaptive sliding mode control for Markov jump systems with deficient transition probability. Different from the existing literature, we propose a novel method to design a mode‐dependent sliding mode controller when the mode information is completely unknown, while the controller gain parameters can be designed by solving feasible conditions. Firstly, by designing an integral‐type sliding surface, on which an ideal sliding mode dynamics is obtained. Then, for different types of mode transition information, a set of feasible easy‐checking stochastic stability criteria are proposed for the sliding mode dynamics in terms of strict linear matrix inequalities. Further, relying on the parameters obtained from the stability criteria, an adaptive sliding mode controller is successfully designed with respect to different types of system mode transition information. Finally, a numerical example is provided to illustrate the advantage of the developed strategy.
Funder
China Postdoctoral Science Foundation
National Natural Science Foundation of China
Natural Science Foundation of Jiangsu Province
Subject
Electrical and Electronic Engineering,Industrial and Manufacturing Engineering,Mechanical Engineering,Aerospace Engineering,Biomedical Engineering,General Chemical Engineering,Control and Systems Engineering
Cited by
1 articles.
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